The projected population of a certain ethnic group(in millions) can be approximated by p(t)equals=39.63 left parenthesis 1.026 right parenthesis superscript t39.63(1.026)t where tequals=0 corresponds to 2000 and 0< t< 50
the projected population of a certain ethnic group(in millions) can be approximated by p(t)equals=39.63 left parenthesis 1.026 right parenthesis superscript t39.63(1.026)t where tequals=0 corresponds to 2000 and 0 less than or equals t less than or equals 500≤t≤50.a. estimate the population of this group for the year 2010.b. what is the instantaneous rate of change of the population when tequals=10?

i can answer this question sweetie!

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)